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Finding the Fourth Proportional to 199,671.48, 299,419.74 and 74,925

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Solution

The fourth proportional to 199,671.48, 299,419.74 and 74,925 is: 112,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,671.48 : 299,419.74 = 74,925 : x
  2. Step 2: Convert to fraction form
    199,671.48/299,419.74 = 74,925/x
  3. Step 3: Cross multiply
    199,671.48x = 299,419.74 × 74,925
  4. Step 4: Simplify right side
    199,671.48x = 22,434,024,019.50
  5. Step 5: Solve for x
    x = 22,434,024,019.50/199,671.48
  6. Step 6: Final answer
    x = 112,354.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.